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Omnitetrachordal MODMOS scale
2L+8s
10 tones (4+2+4)

Pajara MODMOS. Best at lower ratios of L/s.

P = 1.8849491924
Q = 4.8274237885 (4/3 = L+2.5s)

L = 120.00 to 600.00 cents (192.18 cents @ P, 328.12 cents @ Q)
s = 0.00 to 120.00 cents (101.96 cents @ P, 67.97 cents @ Q)

9/8 = 2s (0.00 to 240.00 cents)
4/3 = L+3s (480.00 to 600.00 cents)
MOS generator = s (0.00 to 120.00 cents)
MOS period = 1/2 octave (600.00 cents)

notable EDOs: 12, 14, 16, 22, 26

LssssLssss (MOS, not OTC)
     ||   
LsssssLsss (OTC MODMOS) - gen chains 6,4

modes:

sssL ss sssL

Standard Pentachordal Minor

ssLs ss ssLs

-

sLss ss sLss

Alternate Pentachordal Major

Lsss ss Lsss

-
ss sssL sssL


-
ss ssLs ssLs


Alternate Pentachordal Minor
ss sLss sLss

sssL sssL ss
-
ss Lsss Lsss

ssLs ssLs ss
Standard Pentachordal Major


sLss sLss ss
-


Lsss Lsss ss
-
(The names of the modes are Paul Erlich's - see http://lumma.org/tuning/erlich/erlich-decatonic.pdf.)

10_02_08_sLss_ss_sLss.png

See also


References

  • Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages 3685 and 10987.